Least Common Multiple of 697 and 704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 697 and 704 the smallest integer that is 490688 that is divisible by both numbers.

Least Common Multiple (LCM) of 697 and 704 is 490688.

LCM(697,704) = 490688

LCM of 697 and 704

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 697 and 704

LCM of 697 and 704 is 490688

Least common multiple can be found by multiplying the highest exponent prime factors of 697 and 704. First we will calculate the prime factors of 697 and 704.

Prime Factorization of 697


17 697
41 41
1

Prime factors of 697 are 17,41. Prime factorization of 697 in exponential form is:

697 = 171×411

Prime Factorization of 704


2 704
2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 704 are 2,11. Prime factorization of 704 in exponential form is:

704 = 26×111

Now multiplying the highest exponent prime factors to calculate the LCM of 697 and 704.

LCM(697,704) = 26×111×171×411
LCM(697,704) = 490688

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Least Common Multiple of 697 and 704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 697 and 704, than apply into the LCM equation.

GCF(697,704) = 1
LCM(697,704) = ( 697 × 704) / 1
LCM(697,704) = 490688 / 1
LCM(697,704) = 490688

Properties of LCM 697 and 704

(i) The LCM of 704 and 697 is associative

LCM of 697 and 704 = LCM of 704 and 697

Related Least Common Multiples of 697

Related Least Common Multiples of 704

Frequently Asked Questions on LCM of 697 and 704

1. What is the LCM of 697 and 704?

Answer: LCM of 697 and 704 is 490688.

2. What are the Factors of 697?

Answer: Factors of 697 are 1, 17, 41, 697. There are 4 integers that are factors of 697. The greatest factor of 697 is 697.

3. What are the Factors of 704?

Answer: Factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704. There are 14 integers that are factors of 704. The greatest factor of 704 is 704.

4. How to Find the LCM of 697 and 704?

Answer:

Least Common Multiple of 697 and 704 = 490688

Step 1: Find the prime factorization of 697

697 = 17 x 41

Step 2: Find the prime factorization of 704

704 = 2 x 2 x 2 x 2 x 2 x 2 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 490688 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 x 41

Step 4: Therefore, the least common multiple of 697 and 704 is 490688.